On a probabilistic version of Meir-Keeler type fixed point theorem for a family of discontinuous operators

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2021-10-01 DOI:10.4995/agt.2021.15561

R. Bisht, V. Rakočević

引用次数: 1

Abstract

A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that includes continuous as well as discontinuous mappings. In addition to it, a probabilistic fixed point theorem satisfying (ϵ - δ) type non-expansive mappings is established.

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不连续算子族的Meir-Keeler不动点定理的一个概率版本

在Menger概率度量空间(Menger pm -空间)中证明了一类映射族的Meir-Keeler型不动点定理。对于包括连续映射和不连续映射的更大映射类，我们证明了空间的完备性等价于不动点性质。此外，还建立了一个满足(λ - δ)型非扩张映射的概率不动点定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.